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Simplifying 5(-4 + -2x) + -1(8x + -12) = 68 (-4 * 5 + -2x * 5) + -1(8x + -12) = 68 (-20 + -10x) + -1(8x + -12) = 68 Reorder the terms: -20 + -10x + -1(-12 + 8x) = 68 -20 + -10x + (-12 * -1 + 8x * -1) = 68 -20 + -10x + (12 + -8x) = 68 Reorder the terms: -20 + 12 + -10x + -8x = 68 Combine like terms: -20 + 12 = -8 -8 + -10x + -8x = 68 Combine like terms: -10x + -8x = -18x -8 + -18x = 68 Solving -8 + -18x = 68 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -18x = 68 + 8 Combine like terms: -8 + 8 = 0 0 + -18x = 68 + 8 -18x = 68 + 8 Combine like terms: 68 + 8 = 76 -18x = 76 Divide each side by '-18'. x = -4.222222222 Simplifying x = -4.222222222
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